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Finding the Fourth Proportional to 1,291.38, 1,937.09 and 459.11

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Solution

The fourth proportional to 1,291.38, 1,937.09 and 459.11 is: 688.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.38 : 1,937.09 = 459.11 : x
  2. Step 2: Convert to fraction form
    1,291.38/1,937.09 = 459.11/x
  3. Step 3: Cross multiply
    1,291.38x = 1,937.09 × 459.11
  4. Step 4: Simplify right side
    1,291.38x = 889,325.41
  5. Step 5: Solve for x
    x = 889,325.41/1,291.38
  6. Step 6: Final answer
    x = 688.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.